Summary
We consider a moisture evaporation process in a porous medium which is partially saturated by a fluid. The mathematical model is a singular-degenerate nonlinear parabolic free boundary problem. We first transform the problem into a weak form in a fixed domain and then derive some uniform estimates for the proper approximate solution. The existence of a weak solution is established by a compactness argument. Finally, the regularity of the solution and interfaces are investigated.
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Yin, H.M. A singular-degenerate free boundary problem arising from the moisture evaporation in a partially saturated porous medium. Annali di Matematica 161, 379–397 (1992). https://doi.org/10.1007/BF01759646
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DOI: https://doi.org/10.1007/BF01759646